length n = 7
dimension k = 5
alphabet length q = 2

minimum distance d = 2

generator matrix:
0000111
0001011
0010011
0100011
1000011

projective group of automorphisms generated by:
00100
10000
01000
00010
00001

00010
10000
00100
01000
00001

00001
10000
00100
00010
01000